Physics Fundamentalized

Introduction Part 4

Introduction Part 2

Lecture 103: Derivatives Part II

Lecture 101: Kinematics

Lecture 043: Equipotentials

The notion of lines of equipotential is introduced and explored.

Lecture 041: Spherical Electrical Potentials

The integral that defines electric potential is evaluated in the context of two uniform, spherically symmetric charge distributions, the first of which results in the electric potential due to a point charge.

Lecture 031: Damped Oscillator

The harmonic oscillator is solved with a damping force proportional to the speed of the oscillator.

Lecture 029: Harmonic Oscillation Part I

The problem of a mass connected to a spring is analyzed using Newton's 2nd law to reveal the harmonic oscillator differential equation which is then solved for the position, velocity and acceleration of the oscillator as a function of time. ...

Lecture 028: The Motion of the Planets

A modern demonstration of the discovery that a one over r squared force law results in planetary motions that are ellipses in agreement with Kepler’s observations.

Lecture 026: Universal Gravitation

The formulation of Newton’s Universal Gravitational Law is explored in its historical context. After advice is given on applying the law, one of its consequences is revealed.

Lecture 024: Rolling

Rolling is described as a linear superposition of translational and rotational motion. A revelation is made regarding using the point of contact between the rolling object and the surface as the axis of rotation for the motion. The principles are ...

Lecture 023: Torque

Torque is demonstrated in the context of the classroom door and defined such that a rotational analog on Newton’s second law results. With this new version of the law, the problem of an Atwood’s machine with a massive pulley is ...

Lecture 021: Moments of Inertia Part I

The moments of inertia are calculated for a few simple cases; a point particle, a hoop, a rod about its center of mass and a rod about its end. General observations are made about the properties of the moment of ...

Lecture 019: Rotational Kinematics

The kinematic quantities, position, velocity and acceleration, are cast into their rotational analogs.

Lecture 017: Center of Mass Part I

The center of mass is defined in both its discrete and continuous forms and the observation is made that a system of particles can be generalized as the center of mass motion. Two essentials derivations are performed while finding the ...

Lecture 015: Conservation of Momentum Part I

An example of the application of the conservation of momentum to a classic situation is described in detail. Newton's cradle is explained.

Lecture 014: Rocket Motion

After a brief discussion of the notion of systems as it relates to momentum and its conservation, the velocity of a rocket in deep space as a function of fuel consumption is derived.

Lecture 012: Conservation of Energy

A customized form of the law of conservation of energy is derived and its features described in detail. The relationship between conservative forces and their associated potential energies is revealed and explained. Finally, power is defined and its practical applications ...

Lecture 010: Gravitational Potential Energy

The general definition of work is discussed as a practical matter, followed by a derivation of the gravitational potential energy.

Lecture 008: The Work Energy Theorem

In this, the introductory lecture on energy, the kinetic energy is derived using calculus by computing the effect of a force acting in the direction of motion. Energy is also described as a universal symmetry and some practical maters of ...

Lecture 007: Viscous Drag Part II

The velocity of an object subject to a drag force proportional to the square of the velocity is derived as well as the velocity of an object falling under the influence of gravity while subject to a drag force.

Lecture 005: Circular Motion

The centripetal acceleration is revealed by computing the change in the velocity vector for an object moving around a circular arc at constant speed. To follow up, three essential examples of circular motion are demonstrated; the vertical loop, the graviton ...

Lecture 003: Free Body Diagrams

A horse drawn cart is used as a classic example of the application of Newton's Second Law. Free body diagrams are drawn for the system with detailed explanation and advice regarding the technique. With the diagrams complete, the law is ...

Lecture 001: Inertia

Newton’s First Law is presented in its traditional form, but strong emphasis is placed on the law as a definition of force. After a short discussion of the history of inertia and the measurement of mass, forces are presented as ...

Introduction Part III

Introduction to Vectors Vector Addition Vector Subtraction Component Form Unit Vectors Linear Independence The Principle of Superposition The Scalar (Dot) Product The Vector (Cross) Product